Tricyclic mappings: revisited

In order to study the existence of best proximity points of a $\left ( T\right ) $ condition satisfying mapping, we introduce a new interesting notion of triangular projection in geodesic metric spaces. Using the famous Schauder fixed point theorem, we obtain a best proximity point result for such mappings.

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Publication Details

Journal
Fixed Point Theory and Algorithms for Sciences and Engineering
Published
2025-05-18
DOI
https://doi.org/10.1186/s13663-025-00788-3
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
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article

Tricyclic mappings: revisited

Sabar Taoufik
Fixed Point Theory and Algorithms for Sciences and Engineering
Advanced Topics in Algebra
article

Tricyclic mappings: revisited

Sabar Taoufik
article en

Abstract

In order to study the existence of best proximity points of a $\left ( T\right ) $ condition satisfying mapping, we introduce a new interesting notion of triangular projection in geodesic metric spaces. Using the famous Schauder fixed point theorem, we obtain a best proximity point result for such mappings.

Fixed Point Theory and Algorithms for Sciences and EngineeringVol. 2025(1)
University of Hassan II Casablanca (MA)
Openalex Percentile: Top 84%
Advanced Topics in Algebra
DOIOpen Access PDFOpenAlex
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Tricyclic mappings: revisited — Sabar Taoufik · Fixed Point Theory and Algorithms for Sciences and Engineering (2025) | TGRS Research Map | TGRS